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311705056 = 2513898419
BaseRepresentation
bin10010100101000…
…011110111100000
3210201112020221201
4102211003313200
51114244030211
650532530544
710503310045
oct2245036740
9721466851
10311705056
1114aa49693
1288480a54
134c768780
142d57d1cc
151c5720c1
hex12943de0

311705056 has 48 divisors (see below), whose sum is σ = 668379600. Its totient is φ = 142230528.

The previous prime is 311705041. The next prime is 311705077. The reversal of 311705056 is 650507113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32815 + ... + 41233.

It is an arithmetic number, because the mean of its divisors is an integer number (13924575).

Almost surely, 2311705056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334189800).

311705056 is an abundant number, since it is smaller than the sum of its proper divisors (356674544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311705056 is a wasteful number, since it uses less digits than its factorization.

311705056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8531 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 311705056 is about 17655.1708006465. The cubic root of 311705056 is about 678.0284995402.

The spelling of 311705056 in words is "three hundred eleven million, seven hundred five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 89 104 178 208 356 416 712 1157 1424 2314 2848 4628 8419 9256 16838 18512 33676 37024 67352 109447 134704 218894 269408 437788 749291 875576 1498582 1751152 2997164 3502304 5994328 9740783 11988656 19481566 23977312 38963132 77926264 155852528 311705056